Diffusion Coefficient for Sublimation Diffusion Of Disperse Dye using Error Function
Geon-Yong Park, Department of Chemical Engineering, Chungwoon University, Incheon, Korea, East Asian.
Manuscript received on 08 June 2019 | Revised Manuscript received on 14 June 2019 | Manuscript Published on 22 June 2019 | PP: 36-42 | Volume-8 Issue-8S2 June 2019 | Retrieval Number: H10070688S219/19©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: This study on the sublimation diffusion of disperse dye from paste into PET film was performed by using a film roll method. The Laplace transform was applied to finding the solution of the diffusion equation for the diffusion in a semi-infinite medium. The process to calculate the diffusion coefficient using the iterated complementary error function was proposed. For the sublimation diffusion of disperse dye to PET by treating at 190°Cfor 3 hours, the mean dye concentration for each layer was determined colori metrically and the diffusion coefficient was calculated by obtaining the variable value of the iterated complementary error function derived from the ratio of the mean dye concentrations between adjacent layers. The mean diffusion coefficient for all the layers was unsuitable because of its large standard deviation, while that for below the 5th layer was estimated to be appropriate. The surface concentration calculated by the equation of the iterated complementary error function for the third layer was suitable.
Keywords: Iterated Complementary Error Function, Diffusion Coefficient, Disperse dye, Laplace Transform, PET, Sublimation.
Scope of the Article: Software Defined Networking and Network Function Virtualization